Answer:
P(A|D) and P(D|A) from the table above are not equal because P(A|D) = and P(D|A) =
Step-by-step explanation:
Conditional probability is the probability of one event occurring with some relationship to one or more other events
.
P(A|D) is called the "Conditional Probability" of A given D
P(D|A) is called the "Conditional Probability" of D given A
The formula for conditional probability of P(A|D) = P(D∩A)/P(D)
The formula for conditional probability of P(D|A) = P(A∩D)/P(A)
The table
↓ ↓ ↓
: C : D : Total
→ A : 6 : 2 : 8
→ B : 1 : 8 : 9
→Total : 7 : 10 : 17
∵ P(A|D) = P(D∩A)/P(D)
∵ P(D∩A) = 2 ⇒ the common of D and A
- P(D) means total of column D
∵ P(D) = 10
∴ P(A|D) =
∵ P(D|A) = P(A∩D)/P(A)
∵ P(A∩D) = 2 ⇒ the common of A and D
- P(A) means total of row A
∵ P(A) = 8
∴ P(D|A) =
∵ P(A|D) =
∵ P(D|A) =
∵ ≠
∴ P(A|D) and P(D|A) from the table above are not equal
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
A proportion is an equation with a ratio on each side. And when you reduce 6/8 to the lowest form, it is 3/4
Answer:
Step-by-step explanation:
b
Answer:
Y=( x/2 )- 5
Where y is the number of pencils given to Jamil and 5 is the one kept by Maggie.
Step-by-step explanation:
Let's call the number of Katie pencil (x ).
So Katie gave half of her pencils to Maggie.(1/2x)
So Maggie keeps five pencils and give the rest to Jamil.
So
X/2 = 5 + y
Where y is the number of pencils given to Jamil and 5 is the one kept by Maggie.
Y=( x/2 )- 5